Respuesta :

Answer: [tex]\$11.5[/tex]

Step-by-step explanation:

You need to analize the information given in the exercise.

You know that the cost of the coffee mug that Joel buys is:

[tex]cost\ coffee=\$10[/tex]

And the Sales tax is the following:

[tex]Sales\ tax=15\%[/tex]

You can make the conversion of the Sales tax from percentage to a decimal number by dividing it by 100. Then, this is:

[tex]Sales\ tax=\frac{15\%}{100}\\\\Sales\ tax=0.15[/tex]

Then, you can write the following equation, where "x" represents the total amount of money (in dollars) that Joel actutally has to pay:

[tex]x=10+(0.15)(10)[/tex]

Finally, you must evaluate in order to find the value of "x". You get that this is:

[tex]x=10+(0.15)(10)\\\\x=10+1.5\\\\x=11.5[/tex]